Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Σελίδα 7
... exceed that of the additive , but a subtractive term may stand alone , and yet have a meaning quite intelligible . Hence all algebraical quantities may be divided into positive quantities and negative quantities , according as they are ...
... exceed that of the additive , but a subtractive term may stand alone , and yet have a meaning quite intelligible . Hence all algebraical quantities may be divided into positive quantities and negative quantities , according as they are ...
Σελίδα 20
... exceed b - c ? 19. Find the algebraic sum of three times the square of x , twice the cube of x , · x3 + x- 2x2 , and x23 − x − x2 + 1 . 20. Take p2 - q2 from 3pq - 4q2 , and add the remainder to the sum of 4pq - p2 - 3q2 and 2p2 + 6q2 ...
... exceed b - c ? 19. Find the algebraic sum of three times the square of x , twice the cube of x , · x3 + x- 2x2 , and x23 − x − x2 + 1 . 20. Take p2 - q2 from 3pq - 4q2 , and add the remainder to the sum of 4pq - p2 - 3q2 and 2p2 + 6q2 ...
Σελίδα 59
... exceed 17 ? Take a numerical instance ; " by how much does 27 exceed 17 ? " The answer obviously is 10 , which is equal to 27 - 17 . Hence the excess of x over 17 is x 17 . -- Similarly the defect of x from 17 is 17 - x . Example 2. If ...
... exceed 17 ? Take a numerical instance ; " by how much does 27 exceed 17 ? " The answer obviously is 10 , which is equal to 27 - 17 . Hence the excess of x over 17 is x 17 . -- Similarly the defect of x from 17 is 17 - x . Example 2. If ...
Σελίδα 60
... exceed 5 ? 2 . By how much is y less than 15 ? 3 . What must be added to a to make 7 ? 4 . What must be added to 6 to make b ? 5. By what must 5 be multiplied to make a ? 6. What is the quotient when 3 is divided by a ? 7. By what must ...
... exceed 5 ? 2 . By how much is y less than 15 ? 3 . What must be added to a to make 7 ? 4 . What must be added to 6 to make b ? 5. By what must 5 be multiplied to make a ? 6. What is the quotient when 3 is divided by a ? 7. By what must ...
Σελίδα 65
... exceeds another by 3 , and their sum is 27 ; find them . 5. Find two numbers whose sum is 30 , and such that one of ... exceed twice the other by 1 . 8. Find two numbers whose sum shall be 26 and their differ- ence 8 . 9. Divide $ 100 ...
... exceeds another by 3 , and their sum is 27 ; find them . 5. Find two numbers whose sum is 30 , and such that one of ... exceed twice the other by 1 . 8. Find two numbers whose sum shall be 26 and their differ- ence 8 . 9. Divide $ 100 ...
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+b² acres algebraical sum Arithmetic arranged beginner cents CHAPTER coefficient Completing the square compound expressions convenient cube root descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII exceeds Find the highest Find the lowest find the number Find the product Find the square Find the sum find the value following expressions given expressions half-dollars Hence highest common factor lowest common denominator lowest common multiple lowest terms miles an hour miles per hour minute-hand Multiply negative numerator and denominator obtain quadratic equation quotient Reduce to lowest remainder removing brackets Resolve into factors result rule of signs side simple equation simultaneous equations Solve the equations square root Subtract Transposing trinomial unknown quantities walk whence write yards α α
Δημοφιλή αποσπάσματα
Σελίδα 91 - The product is a2+2a6-}-62; from which it appears, that the square of the sum of two quantities, is equal to the square of the first plus twice the product of the first by the second, plus the square of the second.
Σελίδα 107 - Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities.
Σελίδα 89 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Σελίδα 54 - Transpose all the terms containing the unknown quantity to one side of the equation, and the "known quantities to the other.